Stefanov, Plamen
Stability of the inverse problem in potential scattering at fixed energy
Annales de l'institut Fourier, Tome 40 (1990) no. 4 , p. 867-884
Zbl 0715.35082 | MR 92d:35217 | 2 citations dans Numdam
doi : 10.5802/aif.1239
URL stable : http://www.numdam.org/item?id=AIF_1990__40_4_867_0

Nous prouvons une estimation du type q 1 -q 2 L Cφ(A q 1 -A q 2 R,3/2-1/2 ), où A q i (ω,θ), i=1,2 est l’amplitude de “scattering” relative au potentiel à support compact q i (x) à un niveau d’énergie fixée k= const., où φ(t)=(-lnt) -δ , 0<δ<1 et · R,3/2-1/2 est une norme définie.
We prove an estimate of the kind q 1 -q 2 L Cφ(A q 1 -A q 2 R,3/2-1/2 ), where A q i (ω,θ), i=1,2 is the scattering amplitude related to the compactly supported potential q i (x) at a fixed energy level k= const., φ(t)=(-lnt) -δ , 0<δ<1 and · R,3/2-1/2 is a suitably defined norm.

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